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ORNL-TM-4863.txt
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ADGE N@Igmmflglfl_flmEOHATwY LIBRARIES
3 4455 0550621 7
paKE
.""...
2 o
SR
Printed in the United States of America. Available from
National Technical Information Service
1J.S. Departiment of Commierce
52865 Port Royal Road, Springfield, Virginia 22161
Price: Printed Copy $5.45; Microfiche $2.25
This report was prepared as an account of work sponsored by the United States
Government. Neither the United States nor tiiec Energy Research and Developiment
Administration, nor any of their employzes, nor any of their contractors,
subcontractors, or their employees, makes any warranty, express or impliad, or
assumes any legal liability or responsibiiity for the accuracy, completeness or
usefulness of any information, apparatus, product or process disclosed, or represents
that its use would not infringe privately owned righis.
ORNL-TM~4863
UC~76 — Molten Salt Reactor Technology
Contract No,'W—74OS—eng—26
CHEMICAL TECHNOLOGY DIVISION
ENGINEERING DEVELOPMENT STUDIES FOR MOLTEN-SALT
BREEDER REACTOR PROCESSING NO. 19
Compiled by:
J. R. Hightower, Jr.
Other Contributors:
C. H. Brown, Jr.
W. L. Carter
R. M. Counce
J. A. Klein
H. C. Savage
JULY 1975
NOTICE This document contains information of a preliminary nature
and was praparad primarily for intarnal use at the Qak Ridge Mational
Laboratory. It is subject to revision or correction an'd therefore does
not represent a final report,
OAK RIDGE NATIONAL LABORATORY
Oak Ridge, Tennessee 37830
operated by
UNION CARBIDE CORPORATION
for the
ENERGY RESEARCH AND DEVELOPMENT ADMINISTRATION
OAK RIDGE NATICNAL LABDRATORY LIBRARIES
RURBATINARIEE
3 445k 055021 7
ii
Reports previously issued in this series are as follows:
ORNL-TM~3053 Period ending December 1968
ORNL~-TM-3137 Period ending March 1969
ORNL-TM~-3138 Period ending June 1969
ORNL~TM-3139 Period ending September 1969
ORNL-TM~3140 Period ending December 1969
ORNL~-TM—-3141 Period ending March 1970
ORNL-TM-3257 Period ending June 1970
ORNL~TM~3258 Period ending September 1970
ORNL~-TM-~3259 Period ending December 1970
ORNL~TM-3352 Period ending March 1971
ORNL-TM~4698 Period January through June 1974
iii
CONTENTS
| Page
SUMMARIES - - - - - . - - . . L » - - - . » . - - - - - . - - e - V
INTRODUCT ION - . . * L] . . . . . I‘ . - . - * . - . - » . - - - » l
DEVELOPMENT OF THE METAL TRANSFER PROCESS. .« « + « « &+ + o o« « » 1
2.1 Examination of MTE~-3 Equipment and Materials. . . . . . . . 2
2.2 Installation of Metal Transfer Experiment MITE-3B. . . . . . 6
2.3 Design of the Metal Transfer Process Facility . . . . . . . 9
SALT-METAL CONTACTOR DEVELOPMENT: EXPERIMENTS WITH A MECHANICALLY
AGITATED, NONDISPERSING CONTACTOR USING WATER AND MERCURY. . ., . 11
3 - 1 Theory . . . » » » . - - » . * - . - - . » - - » o . . * - . 11
3.2 Experimental Apparatus. . . . ¢« . 4+ + + « « 4 e+ . o« s . . 18
3.3 Results and Conclusions . . « « 4+ ¢ &+ ¢ & 4 & o + « « +» « o 18
SALT~-METAL CONTACTOR DEVELCPMENT: EXPERIMENTS WITH A MECHANICALLY
AGITATED, NONDISPERSING CONTACTOR IN THE SALT-BISMUTH FLOWTHROUGH
FACILITY &« « 4 v » v = o o o« o o o o o o o o o 2 o 2 o s o« o « 21
FUEL RECONSTITUTION DEVELOPMENT: DESIGN OF A FUEL RECONSTITUTION
ENGINEERING EXPERIMENT ¢« & +v &« ¢ + o o o s o o o o = 2 o« o« o« « o« 38
R—EFERENCES - - - . - - . - . - - - . > - a * * - - - " - - » - . 4 3
SUMMARIES
DEVELOFMENT OQF THE METAL TRANSFER PROCESS
We have continued fabrication and assembly of the new carbon steel
vessels for metal transfer experiment MTE-3B; during this report period,
the vessels were completed and installed in the metal transfer experiment
facility in Bldg. 3541. The vessels previously used in experiment MTE-3,
along with the salts and bismuth they contained, were removed and sent to
the burial ground for disposal. We are renovating the metal transfer
hood to improve operating accessibility and assure that all egquipment
is in good operating condition.
Examination of the vessels. and analyses of the salt and metal phases
from the previocusly operated experiment MTE-3 have been comp leted,
Limited visual examination indicated that the internal surfaces exposed
to salts and bismuth were in excellent condition. Failure of the
oxidation~resistant protective coating on the external surfaces allowed
significant oxidation of these surfaces at the 650°C operating tempera-
ture, but was not extensive enough to affect the vessel integrity. A
different protective coating with superior air-oxidation resistance was
applied to the MTE-3B vessels.
X-ray fluorescence analyses of the Li~Bi phase from the rare-earth
stripper at the LiCl--Li~Bi interface contained significant amounts of
iron and thorium. Scanning electron photomicrographs of this interface
at magnification of 20, 100, 500, and 2000X were taken. No identifiable
film or foreign material can be seen at the interface.
Review of the design criteria for the Metal Transfer Process Facility
has been initiated. This facility is to be located in Bldg. 7503 (MSRE
site).
vi
SALT-METAL CONTACTOR DEVELOPMENT: EXPERIMENTS WITH A MECHANICALLY
AGITATED, NONDISPERSING CONTACTOR USING WATER AND MERCURY
Five runs were made in the 5- by 7-in.-Plexiglas contactor with phase
volumes, agitator speed, and initial mercury-phase zinc concentrations
held constant at 1.8 liters, 150 rpm, and 0.1 M, respectively. The ini-
tial aqueous-phase lead concentration was varied from 0.02 M to 0.10 M
to determine which phase contains the limiting resistance to mass transfer
and the concentration of lead ions in the aqueous phase at which the con-
trol of mass transfer changes from one phase to the other.
A model was developed for this system under the assumption that the
reaction takes place entirely at the water—-mercury interface and is
instantaneous and irreversible. It was found that for the conditions
under which these and all previous runs were performed, the resistance
to mass transfer was not in the mercury phase as was previously believed.
SALT-METAL CONTACTOR DEVELOPMENT: EXPERIMENTS WITH A MECHANICALLY
AGITATED, NONDISPERSING CONTACTOR IN THE
SALT-BISMUTH FLOWTHRCUGH FACILITY
A 6-in. diam low-carbon steel stirred interface contactor has been
installed in the Salt-Bismuth Flowthrough Facility in Bldg. 3592, which
was previously used to study salt-bismuth flow in packed columns. Six
tracer runs have been completed to date using 97Zr and 237U tracers. The
stirrer rate was varied from 121 rpm to 205 rpm.
Results from the first six runs indicate that the salt-phase mass
transfer coefficient based cn 237U counting data is 37 + 3% of the value
predicted by the Lewis correlation for runs 1, 2, 3, and 5, and is 116
+ 10% of the Lewis value for runs 4 and 6. The relatively high values
for the latter two runs are probably due to dispersal of salt into the
bismuth. Experiments with water-mercury and water-methylene bromide
systems support this belief. The mass transfer coefficients based on
97Zr counting data are felt to be less reliable than those based on 237U
because of the inability to correct for self absorption of the 743.37
keVv 8— in the solid bismuth samples.
vii
FUEL RECONSTITUTION DEVELOPMENT: DESIGN OF A FUEL
RECONSTITUTION ENGINEERING EXPERIMENT
We are beginning engineering studies of fuel reconstitution. Egquip-
ment is described for carrying out the reaction of gaseous UF6 with UF4
dissolved in molten salt and the subsequent reduction with hydrogen of
the resultant UFS' The experiment will be a flowthrough operation, and
the main vessels will consist of a 36-liter feed tank, a UF. absorption
6
vessel, a hydrogen reduction cclumn, and a receiver vessel.
1. INTRODUCTION
A molten-salt breeder reactor (MSBR) will be fueled with a molten
fluoride mixture that will circulate through the blanket and core regions
of the.reactor and through the primary heat exchangers. We are developing
processing methods for use in a close-coupled facility for removing
fission products, corrosion products, and fissile materials from the
molten fluoride mixture.
Several operations associated with MSBR processing are under study.
The remaining parts of this report discuss:
(1) results of inspection of equipment used in experiment MTE-3
for demonstrating the metal transfer process for removal
of rare earths from MSBR fuel carrier salt,
(2) status of the installation of equipment for metal transfer
experiment MTE-3B,
(3) results of studies with mechanically agitated, nondis-~
persing contactors using water and mercury,
(4) results of studies with mechanically agitated, nondis-
persing contactors using molten salt and bismuth, and
(5) a description of equipment being fabricated for a fuel
reconstitution engineering experiment.
This work was performed in the Chemical Technology Division during
the period June through September 1974.
2. DEVELOPMENT OF THE METAL TRANSFER PROCESS
H. C. Savage and W. L. Carter
We plan to continue studying the steps in the metal transfer process
for removing rare earths from molten-salt breeder reactor fuel salt. 1In
this process, fuel salt, which is free of uranium and protactinium but
contains the rare eérths, is contacted with bismuth containing reductant
to extract the rare earths into bismuth. The bismuth phase, which con-
tains the rare earths and thorium, is then contacted with lithium chloride.
Because of favorable distribution coefficients, significant fractions of
the rare earths transfer to the lithium chloride along with a negligible
amount of thorium. The final steps of the process extract the rare earths
from the lithium chloride by contact with bismuth having lithium concen-
trations of 5 and 50 at. %.
The current experiments utilize mechanically agitated contactors as
1,2 The
an alternative to packed columns for the metal transfer process.
Lewis-type contactor appears to have the potential for achieving accept-
able rare-earth mass transfer rates with minimum dispersal of the salt
r
and bismuth phases. This is an important factor, since entrainment
of bismuth into processed fuel salt that is returned to the reactor can-
not be tolerated. The contactor has two agitators——-one in the salt phase
and one in the bismuth phase--~that are located well away from the salt-
bismuth interface. These agitators are operated in such a manner that the
phases are mixed as vigorously as possible without dispersing one phase
into the other.
An engineering experiment (MTE-3) in which the salt flow rate was
about 1% of that required for processing the fuel salt from a 1000 MW (e)
MSBR was operated during 1972 to measure rare—earth mass transfer rates
across the salt-bismuth interfaces.5 These experiments will be continued
in a new experiment, designated MTE-3B, that will use new process vessels,
salts, and bismuth.
2.1 Examination of MTE-3 Equipment and Materials
We completed the examination of the vessels and removal of samples of
the salt and bismuth phases from various locations in the contactor and
stripper vessels. The vessels, along with the salt and bismuth contained
in them, were removed from the hood in Bldg. 3541 and were sent to the
burial ground for disposal.
As previously reportedl significant amounts of iron were found in
samples of the Bi~Th, Li-Bi, and LiCl phases taken at or near the salt~
metal interfaces. Additional samples of the Bi~Th, Li-~-Bi, and LiCl were
taken at various distances from the interfaces and analyzed for iron con-
tent. The samples were obtained by drilling through the tank walls with
a l-in.-diam hole saw, and were generally taken from material approxi-
mately 1/2 in. from the inside-wall surface. Results of iron analyses
are shown in Table 1. As seen in this table, iron concentrations in
samples taken some distance (2 to 8 in.) from the interfaces are signifi-
cantly lower than those at or near the interface.
A section of the Li-Bi~-LiCl across the interfacial area in the
stripper was examined by scanning electron microscopy. Scanning electron
photomicrographs at magnifications of 20, 100, 500, and 2000X were taken
of this interface, and are shown in Fig. 1. These photographs were taken
of the rough, unpclished surface, and no identifiable film or foreign
material is visible. (From a visual examination of the as-removed section
of this interface, there appeared to be a layver of material ~ 1/32 in.
thick of a different structure than the LiCl phase or the Li-Bi phase.)
Analyses by X-ray fluorescence were made at five locations across
this interface, which are identified as 1, 2, 3, 4, and 5 on the 20X
photomicrograph of Fig. 1. Results are given below:
{1) In the LiCl some distance from the Bi-LiCl boundary, some
thorium and a small amount of bismuth and lanthanum were
detected.
(2) 1In the LiCl near the Bi-LicCl boundary, a very small
amount of thorium, iron, and bismuth was detected.
(3) ©On the Bi~LiCl boundary, thorium and iron, as well as
bismuth and chlorine, were detected.
(4) In the bismuth area near the Bi-LiCl boundary, large
amounts of thorium, iron, and chlorine, as well as
the bismuth, were detected. '
(5) In the bismuth area some distance from the Bi-LiC1
boundary, only bismuth was detected.
The presence of iron (or iron oxides) at or near the interface is
consistent with the relative densities of bismuth (9.6 g/cm3) and iron
(7.6 g/cmB) or possibly iron oxides (v 5.5 g/cm3) that would be expected
to precipitate on cooling of the bismuth phase. Iron might be expected
to concentrate at the interfaces due to the densities of the iron and
ircen oxides (v 5 to 5.5 q/cm3), and the salt and bismuth phases (v 3.5
Table 1. Iron content in samples of metal and salt phases
from metal transfer experiment MTE-3 at various
distances from the metal~-salt interfaces
Material Source Fe (ppm)
Contactor, LiCl side
Bi-Th N~ 1/8 in. from intexrface 2500
v 2 in. from interface 18
v 4-1/2 in. from interface 17
Contactor, fluoride salt side
Bi~Th ~v o 1/4 in. from interface 1100
v 2 in, from interface 37
~v 4 in. from interface 9
Stripper
Li-Bi < 1/8 in. from interface 1400
v 2 in. from interface 108
v 5 in. from interface 7
StriEBer
LiCl v 1/2 in, from interface 650
v 1l in. from interface 200
v 6-3/4 in. from interface 115
v 8-3/4 in. from interface 35
Contactor
LiF-BeF ,~ThF, v 1/8 in. from interface 320,88%
(72-16-12 mole %)
aResults of two different samples. BAll other results are for one sample.
g/cm3 for fluoride salt, 1.5 g/cm3 for LiCl, and ~v 9.6 g/cm3 for bis-
muth) .
When sampling the LiCl in the stripper about 1 in. above the LiCl--
Li~Bi interface, a small amount of black material was seen. We were able
to separate some of this black material (< 1/2 g) from the sait for
chemical analyses. The following results were reported (wt %): Bi -
52.7; Th - 18.7; C1 - 4.1; 1Li - 2.8; F ~ 2.4; Fe ~ 0.26; Be - 1 ppm.
ORNL DWG. 74-10ll6
MAG: 2000X MAG. 500X
Fig. 1. Scanning electron photomicrographs of the interface between
LiCl and Li-Bi in the stripper from experiment MTE-3. Unpolished.
These constituents total 81%, leaving 19% unaccounted for. No other
elements, except possibly those introduced by oxygen or water contamina-
tion, are known to be present in the system. If it is assumed that the
remainder is predominantly oxygen, this would be sufficient to form oxides
and/or hydroxides of all of the cationic species (bismuth, thorium,
lithium, and iron). The gram equivalent of these species is ~ 0.015,
while the anion-gram equivalent of fluorine and chlorine is only 0.0025.
For 19 wt % oxygen in the material, the oxygen gas equivalent is 0.024,
or 0.011 of hydroxide.
It is not now possible to draw firm conclusions about the relation-
ship of our current observations to the low mass transfer rates seen in
experiment MTE-3. The transfer of fluoride salt into the chloride salt
just prior to shutdown, and the length of time between shutdown and
inspection (from February 1973 to February 1974), have caused much uncer-
tainty in the interpretation of the analyses.
Additional samples of fluoride salt, LiCl--Bi-Th, and LiBi from inter-
facial surfaces in the contactor and stripper have been submitted for X-
ray diffraction analyses in an attempt to identify compounds which might
be present. (Nothing other than beryllium was identified on one sample
of Li~-Bi from the stripper previously examined by X-ray diffraction.)
2.2 1Installation of Metal Transfer Experiment MTE-3B
Fabrication and assembly of new carbon steel vessels were completed
during this report period. An oxidation-resistant protective coating
(METCO No. P443-10, v 0.015 in. thick) was applied to the outside surfaces
of the carbon steel vessels and interconnecting lines to prevent air oxi-
dation at the operating temperature of 650°C. A new pump for transferring
fuel carrier salt between the salt reservoir and contactor was fabricated
and installed. New molybdenum agitator shafts and blades have alsoc been
obtained, and the agitator assemblies were installed in the contactor and
stripper.
The vessels and their contents (fuel carrier salt, lithium chloride,
and bismuth) previously used in experiment MTE-3 were removed from Bldg.
3541 and sent to the burial ground for disposal. The new vessels have
been installed, and the experimental area in which the metal transfer
experiment is located is being rénovated. This includes rerouting some
of the service lines to improve access to sampling stations, relocation
of some pressure gages, flowmeters, and valves for better visibility
and acc¢ess, calibration and replacement (where required) of pressure
gaqes,;flowmeters, and solenoid fialves, and rgcalibration of temperature
controllers and recorders.
We have completed tests on fiwo different oxidation-resistant protec~-
tive coatings using a different method of application for each type of
coating. The coatifigs were applied to test séctions made from longitudinal
half-sections of 6-in. sched 40 mild steel pipe. The test sections were
coatedion all exposed surfaces. One test piece was coated with the nickel
alumide material (METCO No. M405fi10 wire) by flame spraving with a wire
gun to obtain a ccating thickness of v 0.010 in., thereby duplicating the
coating used on the MTE-3 vessels. The second test piece was coated with
a nickel chromium alioy containing 6% aluminum (METCO No. P443-10 powder)
applied with a plasma spray gun to a thickness of ~ 0.0l0 in., as recom-
mended by the manufacturer. The two pieces were placed on fire bricks
inside a furnace and heated to the test tempefature. During the test,
the pieces were thefmally cycled‘several times by alternateiy cocling the
furnace to " 100°C and returning it to the test temperature.
The initial teét temperature was 700°C. After v 400 hr at 700°C with
eight thermal cycleé, the pieces were examined, weighed, and photographed
(Fig. 2)" The M405-10 coating was covered extensively with a rust-colored
oxidation product, but there wasfno sign of spalling of the;coating,
whereaé the piece cfiated with P44B—10 had a muéh better appearance with
only one edge showing a rust color. Weight gain of the P443~10 coated
test piece was about 7.3 mg/cmz, while the M405-10 coating gained about
10.3 mg/cm2
The test temperature was then increased to 815°C and was continued
for 520 hr with eight thermal cycles to 100°C. The test pieces were again
examined, weighed, and photographed (Fig. 2). The M405-10 coating had
ORNL DWG. 74-10117
MNICKEL AL UMINIDE FOUCFEL CHROGME 4 6% ALUMIEIGM
METCC AMI0S-10 METCC PA43-10
PLFCKEL ALLISAINITY
PAETC O M40 5 -10
(b)
Fig. 2. Photographs of 6-in. sched 40 mild steel pipe with oxida-
tion resistant protective coatings: (a) after 400 hr at 700°C in air,
(b) after 500 additional hr at 815°C in air.
deteriorated to the point where spalling had occurred, while the P443-10
coating had no spalling except along one edge where there was some rust-
colored oxidation product and some spalling. Total weight gain of the
M405-10~coated test piece was 69.2 mg/cmz, and 20.5 mg/cm2 for the
P443~10 test piece.
Metallographic examinations were made of the best and worst appearing
areas of the two specimens. In the best appearing areas, both coatings
were adherent, but a thin layer of oxide formed at the metal-coating
interface of the specimen coated with METCO M405-10; this indicates that
oxygen is diffusing through the coating. The metal-coating interface of
the specimen coated with METCO P443-10 was free of visible oxide, indi-
cating that it is a good barrier to oxygen diffusion. For the worst
areas of both coatings, oxide at the metal-coating interfaces caused
some spalling where the coating may not have been thick enough to prevent
oxygen diffusion through the coatings. The oxide formed underneath the
P443-10 coating {in a spalled area occurring only along one edge) appeared
to be more dense and protective than that formed on the M405-10-coated
specimen. This indicates that some of the elements in the P443-10 coating
may have diffused into the base metal and imparted a measure of protection,
even though the coating had separated in this area.
This limited test clearly demonstrated the superiority of the plasma
spray P443-10 coating over the M405-10-wire gun sprayed material prev-
iously used for the MTE-3 vessel; therefore, the plasma spray coating has
been applied to the external surfaces of the MTE-3B vessels that will
operate at elevated temperatures.
2.3 Design of the Metal Transfer Process Facility
Design of the metal transfer process facility (MTPF) in which the
fourth metal transfer experiment (MTE-4) will be carried out was underway
when the MSR program was terminated in 1973.6 Briefly reviewed, MTE-4 is
an engineering experiment that will use salt flow rates that are 5 to 10%
of those required for processing a 1000-MW(e) MSBR. Conceptual designs
of the three-stage salt-metal contactor, made of graphite, and its
10
containment vessel were completed.6 The primary purposes of MTE-4 are:
(1) demonstration of the removal of rare-earth fission
products from MSBR fuel carrier salt, and accumulation
of these materials in a lithium-bismuth solution in
equipment of a significant size,
(2) determination of mass transfer coefficients between
mechanically agitated salt and bismuth phases,
(3) determination of the rate of removal of rare earths
from the fluoride salt in multistage equipment,
(4) evaluation of potential materials of construction,
particularly graphite,
(5) testing of mechanical devices, such as pumps and
agitators, that will be required in a processing
plant, and
(6) development of instrumentation for measurement and
control of process variables, such as salt-metal
interface location, salt flow rate, and salt or
bismuth liquid level.
We are currently reviewing the design of metal transfer experiment
MTE-4. A mathematical model of the system has been devised, and a com-
puter program (METTRAN) has been written to simulate transient operation
of the experiment. Computations can be made to determine the concentra-
tion of each nuclide being transferred at each stage and at the feed and
receiving vessels as a function of operating time. The program allows the
experimenter to make parametric studies for such design features as inter-
facial area, number of stages, flow rates, agitator speed, and inventories
of materials. METTRAN is being used to analyze the MTE-4 experiment to
ascertain the significance of various design features on metal transfer
rates in order to fix optimal design conditions.
Due to space limitations in Bldg. 4505, we are planning to locate
MTE-4 and several of the engineering experiments on molten-salt proceésing
in the MSRE Building (7503). General cleanup and checkout of existing
building services (electrical circuits, ventilation, and air-filtration
systems) is underway. A 480-V, 3-phase, 60-Hz, 300-kW diesel generator
set and necessary controls will be installed in the existing generator
11
building at the MSRE site. This will provide emergency power for main-
taining portions of engineering experiments which contain salt or bismuth
at temperatures above the liguidus temperatures. A purchase corder for the
generator set has been issued, and the system design has been completed.
3. SALT-METAL CONTACTOR DEVELOPMENT: EXPERIMENTS
WITH A MECHANICALLY AGITATED, NONDISPERSING
CONTACTOR USING WATER AND MERCURY
C. H. Brown, Jr.
A critical part of the proposed MSBR processing plant is the extrac-
tion of rare earths from the fluoride fuel carrier salt to an intermediate
bismuth stream. One device being considered for performing this extrac-
tion is a mechanically agitated, nondispersing contactor in which bismuth
and fluoride salt phases are agitated to enhance the mass transfer rate
of rare earths across the salt-bismuth interface. Previous reportsz’7’8
have shown that the following reaction in the water-mercury system is
sultable for simulating and studying mass transfer rates in systems with
high density differences:
+ 2+
Pb2 [H20] + Zn[Hg] - Zn [H20] + Pb{[Hgl . (1}
A large amount of data have been reported7 for the water-mercury system in
which it was assumed that the limiting resistance to mass transfer existed
entirely in the mercury phase, as suggested by literature correlations.
During this report period, a series of experiments was performed in the
water-mercury contactor to determine which phase actually controls the
rate of mass transfer and, also, the concentration of Pb2+ at which the
control of mass transfer changes from one phase to the other.
3.1 Theory
The reaction under ceonsideration, Eg. (1), is a liquid-phase jonic
reaction that occurs entirely at the mercury-water interface; this is
pecause zinc metal and lead metal are inseoluble in water and there can
12
be no ionic lead or zinc in the mercury. Since this is a typical ionic
reaction, it is assumed to be essentially instantaneous and irreversible.
The equilibrium constant for the reaction is given by the following equa-
tion:
LPb CZn2+
Kt e ore, (2)
ph2t “zn
where
K = equilibrium constant,
CPb = concentration of Pb metal in mercury, g-mole/liter,
CPb2+ = concentration of Pb iocons in water, g-mole/liter,
CZn = concentration of 2n metal in mercury, g-mole/liter,
CZn2+ = concentration of Zn ions in water, g-mole/liter.
The equilibrium constant is very large, inplying that at equilibrium the
ionic lead and metallic zinc cannot coexist at appreciable concentrations
at the interface. Since it is assumed to be an extremely fast reaction,
the equilibrium relation near the interface must be satisfied at all
times.
For the instantaneous irreversible reaction discussed previously,
two situations could occur near the liquid-liqguid interface, depending on
the relative magnitudes of the individual-phase mass transfer coeffi-
cients and the bulk-phase concentrations of the transferring species in
each phase.9 Figure 3 illustrates these two conditions.
In Fig. 3(a), the limiting resistance to mass transfer is assumed to
occur in the mercury phase. It can be shown that the product of the bulk
phase concentration of reactant and the individual-phase mass transfer
coefficient in the phase where the limitation occurs must be less than
the product of the bulk-phase concentration of the other reactant and
the individual-phase mass transfer ccefficient in the other phase.9 The
concentration of zinc in mercury near the interface decreases from the
13
ORNL DWG. 74-{0/IOR|
LIQUID-LIQUID
INTERFACE
1
: Cpb ,B
| |
CZn,B % E (a)
! 2+
MERCURY i Cpb i ! WATER
:Cani E
M A e !
INTERFACIAL FILMS
POSTULATED BY LEW!S AND WHITMAN
| .
CZn,B | : 2+
i i Cep ,B (b)
I
MERCURY ! ! WATER
: Czn'i — I
; A
Fig. 3. 1Interfacial behavior for an instantaneous irreversible
reaction occurring between two liguid phases. (a) Mercury -phase con-
trolling mass transfer. (b) Water-phase controlling mass transfer.
14
bulk concentration to near zero at the mercury-water interface. The con-
centration at the interface is very small because of the instantaneous
irreversible reaction that occurs at the interface. At the interface in
the water phase, the concentration of Pb2+ has a finite value and
increases through the interfacial film to the bulk phase value.
Fig. 3(b) illustrates the condition in which the limiting resistance
to mass transfer is assumed to occur in the water phase. The explanation
of the concentration gradients in the interfacial films is entirely analo-
gous to the case explained above. The concentration profiles of lead in
the mercury, Zn2+ in the water, and NOB_ (the anion) in the water are not
shown in Fig. 3.
Several correlations have been developed and presented in the litera-
ture for predicting individual-phase mass transfer coefficients in nondis-
persing stirred interface contactors. For the mercury-water system, all
of these correlations predict that the mercury-phase mass transfer coeffi-
cient would be smaller than the water-phase coefficient.
In all previous work performed with the mercury-water system,2'7'8
the concentrations of the reactants were equal. This condition, coupled
with the fact that the mercury-phase mass transfer coefficient was pre-
dicted to be significantly smaller than the water-phase ccefficient,
indicated that the limiting resistance to mass transfer should occur in
the mercury phase.
In order to test the assumption that mass transfer is controlled by
the mercury phase, we can write the following relations for transfer of
the reactants from the bulk phase to the interface where they react, based
on the two-film representation shown in Fig. 3:
Non = ¥ug®Con.p ™ Can,i’ ¢ (3)
Npp2t = kH20A(CPb2+,B = Cppet i) (4)
where
k = individual-phase mass transfer coefficient, cm/sec,
15
N = rate of mass transfer to the interface, g/sec,
. . 2
A = interfacial area, cm ,
C = concentration, (B denotes bulk-~phase concentration, i denotes
interfacial concentration), g/cm3, and
subscripts Hg and H. 0 refer to the phase being considered. As stated
2
above, we assumed that the rate at which reaction (1) proceeds is con=-
trolled by the rate of transfer of zinc through the mercury phase to the
interface. The necessary conditions for this assumption to be valid are:
(1) The equilibrium constant for the reaction must be large
(i.e., the reaction should be irreversible).
(2) The product of the mass transfer coefficient times the
bulk concentration of reactant in the phase where the
rate of mass transfer is limiting must be less than the
product in the other phase.
. . . . 2+ .
Since 1 mole of zinc is equivalent to 1 mole of Pbh according to Eg. (1),
NPb2+ = NZn' Substituting Egs. (3) and (4) into this expression, and
assuming that the controlling resistance is in the mercury phase, the
following expression is obtained for the apparent mercury-phase mass
transfer coefficient:
+ — +
kHZO(Csz , B chz ,i)
K - (5)
Hg,2 cZn,B
where
ng A = the apparent individual-phase mass transfer coefficient for
’
the mercury phase, cm/sec,
H 0 = the true individual-phase mass transfer coefficient for the
water phase.
In the above equation, the actual mass transfer coefficient differs from
the apparent mass transfer coefficient only if the mercury phase doass not
control the rate of mass transfer. The transient method used to determine
the mass transfer coefficient has been described previcusly.
16
By an argument similar to that which led to the development of Eq.
(5), an equation- -for the apparent agueous-phase mass transfer coefficient
can be written for the case where the limiting resistance is in the water.
, 2+ . C ..
The concentration of Pb in the water below which the limiting resis-
tance to mass transfer is in the water (at a fixed concentration of zinc
. . 2+ .
in the mercury) can be determined as follows: If the Pb concentration
is sufficiently high, the limiting resistance to mass transfer will be in
2+
the mercury, and the interfacial concentration of Pb will have
+
CPb2 P11
a finite value. If CPb2+ 5 is lowered by an amount A (not large enough to
!
cause the limiting resistance to change phases), Eg. (5) then indicates
that CPb2+ i must also decrease by the same amount A, keeping the differ-
’
ence CPb2+,B "“ch2+,i constant. The water-phase mass transfer coeffi-
cient is assumed to remain constant (although of unknown value). If
+ 1 > 1Ci : ;i +
ch2 B is reduced sufficiently, CPb2+,1 will drop to zero; if CPb2 B
is further reduced, CPb2+ i will remain zero, and the limiting resistance
!
will change from the mercury phase to the water phase. At high values
+
of CPbZ B
remain constant as C
the apparent mercury-phase mass transfer coefficient will
Pb2+ B is lowered to the point where the limiting
r
resistance moves into the water phase. As CPb2+ 3 is further reduced,
!
CPb2+,i will be zero or very near zero. Equation (5) shows that the
apparent mercury-phase mass transfer coefficient will vary directly with
CPb2+,B (since CZn,B is fixed, and the true water-phase mass transfer
coefficient is assumed to be constant). This dependence of the apparent
mercury-phase mass transfer coetfficient on the concentration of Pb2+ in
the water is shown in Fig. 4. The dependence of the.analogously defined
apparent water-phase mass transfer coefficient is also shown. Thus, by
calculating the apparent mercury-phase mass transfer coefficient as a
function of the initial agueous-phase lead concentration for a single
agitator speed, the transition from mercury-phase controlling to agueous-
phase controlling should be identifiable by a line-slope change determined
by plotting the apparent mercury-phase mass transfer coefficient vs the
initial aqueous—phase lead concentration.
17
ORNL DWG. 74-10lll
» WATER PHASE MERCURY PHASE
2 CONTROLLING 4——II}-—-—---P CONTROLLING
= | £
- | / HQ,A
w |
v W
< O
T T :
i '
& |
S 0 !
O
= o
2w |
8 w |
= W |
z |
- !
Z o |
W = |
a |
<t |
a |
a |
T |
INITIAL AQUEOUS—PHASE LEAD CONCENTRATION
Fig. 4. Theoretical relationship between the apparent mass transfer
coefficients and the initial agueous~phase lead concentration.
18